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Finding the Fourth Proportional to 3,668.49, 5,494.50 and 2,021.49

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Solution

The fourth proportional to 3,668.49, 5,494.50 and 2,021.49 is: 3,027.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668.49 : 5,494.50 = 2,021.49 : x
  2. Step 2: Convert to fraction form
    3,668.49/5,494.50 = 2,021.49/x
  3. Step 3: Cross multiply
    3,668.49x = 5,494.50 × 2,021.49
  4. Step 4: Simplify right side
    3,668.49x = 11,107,076.81
  5. Step 5: Solve for x
    x = 11,107,076.81/3,668.49
  6. Step 6: Final answer
    x = 3,027.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.